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SUMMARY:EAUMP-ICTP School: Topics in Concrete Mathematics | (smr 3465)
DTSTART;VALUE=DATE-TIME:20200803T060000Z
DTEND;VALUE=DATE-TIME:20200814T200000Z
DTSTAMP;VALUE=DATE-TIME:20200401T180803Z
UID:indico-event-9110@ictp.it
DESCRIPTION:\n This School will be held at the ICTP-East African Institute
for Fundamental Research [EAIFR] in Kigali\, Rwanda\; it will offer stude
nts concrete and effective mathematical tools from algebra\, group theory
and geometry that can be applied to any scientific field.Description of Co
urses:\n \n Advanced linear algebra\n \n This goes beyond a first cour
se on the subject. Topics like Jordan normal form will be studied as well
as bilinear forms\, multilinear forms and tensor products\; \n Groups\,
Counting and FFT \n \n We start with group theory via rotations in 3d spa
ce\; this will be used in Pólya counting problems. We then moves on to ch
aracter theory culminating in fast Fourier transform\; \n Introduction
to Lie Algebras\n \n The course introduces Lie algebras and aims towards o
f the classification of semisimple Lie algebras which is widely consider
ed one of the most elegant results in mathematics\; \n Modular forms\n
\n The course introduces modular forms. We will study many concrete examp
les\, like the Eisenstein series\, from which we will construct the finite
dimensional spaces of modular forms of any weight.\n \n \n \n\n\nhtt
p://indico.ictp.it/event/9110/
LOCATION:Kigali - Rwanda
URL:http://indico.ictp.it/event/9110/
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